Question

Consider two x distributions corresponding to the same x distribution. The first x distribution is based...

Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n = 100 and the second is based on samples of size n = 225. Which x distribution has the smaller standard error?

a. The distribution with n = 225 will have a smaller standard error.

b. The distribution with n = 100 will have a smaller standard error.

Explain your answer. Since σx = σ/√n, dividing by the square root of 100 will result in a small standard error regardless of the value of σ.

a. Since σx = σ/n, dividing by 225 will result in a small standard error regardless of the value of σ.

b. Since σx = σ2/√n, dividing by the square root of 100 will result in a small standard error regardless of the value of σ2.

c. Since σx = σ/n, dividing by 100 will result in a small standard error regardless of the value of σ.

d. Since σx = σ2/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of σ2.

e. Since σx = σ/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of σ.

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Answer #1

Which x distribution has the smaller standard error?

The distribution with n = 225 will have a smaller standard error. Option A is correct.

Explain your answer.

Since σx = σ/√n, dividing by the square root of 225 will result in a small standard error regardless of the value of σ. Option E is correct.

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